109157922720 has 864 divisors, whose sum is σ = 485748192384. Its totient is φ = 21684326400.

The previous prime is 109157922683. The next prime is 109157922761. The reversal of 109157922720 is 27229751901.

109157922720 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 579 + 2 + 2 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58654590 + ... + 58656450.

It is an arithmetic number, because the mean of its divisors is an integer number (562208556).

Almost surely, 2^109157922720 is an apocalyptic number.

109157922720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109157922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242874096192).

109157922720 is an abundant number, since it is smaller than the sum of its proper divisors (376590269664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109157922720 is a wasteful number, since it uses less digits than its factorization.

109157922720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 109157922720 in words is "one hundred nine billion, one hundred fifty-seven million, nine hundred twenty-two thousand, seven hundred twenty".